the average number of mosquitos caught in 64 mosquito traps in a particular environment was 700 per trap . the standard deviation of mosquitos caught in the entire population of traps is 100 mosquitos. what is the 99% condidence interval for the true mena number of mosquitos caught in all mosquito traps

Answers

Answer 1

Answer:

the 99% confidence interval for the true mean number of mosquitos caught in all mosquito traps is ( 667.81, 732.19 )

Step-by-step explanation:

Given the data in the question;

sample mean x' = 700

sample size n = 64

the standard deviation σ = 100

99% confidence interval for the true mean number of mosquitos caught in all mosquito traps = ?

significance level ∝ = 1 - 99% = 1 - 0.99 = 0.01

∝/2 = 0.01 / 2 = 0.005

Z-critical [tex]Z_{\alpha /2[/tex] = 2.575 { from table }

So, to get the 99% confidence interval;

⇒ x' ± [tex]Z_{\alpha /2[/tex] ( σ / √n )

we substitute

⇒ 700 ± 2.575 ( 100 / √64)

⇒ 700 ± 2.575( 12.5 )

⇒ 700 ± 32.1875

⇒ ( 700 - 32.1875 ), ( 700 + 32.1875 )

⇒ ( 667.81, 732.19 )

Therefore,  the 99% confidence interval for the true mean number of mosquitos caught in all mosquito traps is ( 667.81, 732.19 )


Related Questions

please Help! Urgent!!

Answers

Answer:

Step-by-step explanation:

= [tex] ( {p}^{ \frac{1}{2} } )^{3} \times \sqrt{p ^{6} } [/tex]

= [tex] ( {p}^{ \frac{3}{2} } ) \times {p ^{ \frac{1}{2} × 6} } [/tex]

= [tex] ( {p}^{ \frac{3}{2} } ) \times {p ^{ 3} } [/tex]

= [tex] ( {p})^{ \frac{3}{2} + 3} [/tex]

= [tex] ( {p})^{ \frac{3 + 3}{2}} [/tex]

= [tex] ( {p})^{ \frac{9}{2}} [/tex]


A. Match the given solid figures to its corresponding formulas. Write the
letter of the correct answer in the blank.

please help​

Answers

This is a Right answer....

HELP ME PLEASE I BEG YOU!!!!!

Answers

Answer:

will you msg me . . . . .. . ..

Answer:

422 cm²

Step-by-step explanation:

Small rectangular prism: 3*4 + 8*3 + 8*3 + 8*4 + 8*4 = 124

Large rectangular prism: 5*7 + 5*7 + 10*5 + 10*5 + 10*7 + (10*7 - 4*3 ) = 298

Total: 124 + 298 = 422 cm²

*Calculate only areas of surfaces showing and add them up

The small rectangular prism has 5, and the large rectangular prism has 6 (with a 4*3 rectangle on its top surface covered)

PLEASE HELPPPPPPPPP MEEE!​

Answers

Let's calculate

4/15×285 + 3/20×320 = 124

124 students are participating in these exercises.

7 students is participating

Someone please help!

Answers

264 in. I believe. If you multiply them all
The answer is 290. The previous answer is incorrect because they calculated volume. The question asks for SURFACE AREA.

find solution y ( -7-y)=0

Answers

Answer:

y = 0, y= -7

Step-by-step explanation:

[tex]y(-7-y) = 0\\=> y =0\ ,\ -7 -y =0 => y = -7[/tex]

Plz help plz "??????????????

Answers

the answer is a. john

hope this helps!
john
have a good day x

Raden says that a trapezoid is a
quadrilateral because it has four sides.
Amanda says that a trapezoid is a
parallelogram because it has a pair of
parallel sides. Who is correct? Explain.

Answers

Answer:

Raden is correct

Step-by-step explanation:

A quadrilateral is any polygon that has four sides and four angles.

A parallelogram is a quadrilateral with two pairs of parallel sides. The opposite sides and angles of a parallelogram are equal. Also, the diagonals are equal to each other and bisect each other.

A trapezoid is a quadrilateral with atleast a pair of parallel sides. It has no perpendicular sides or right angles.

Raden is correct because a trapezoid is a quadrilateral since it has four sides. Amanda is not correct because for a trapezoid to be a parallelogram it must have two pairs of parallel sides and not just a single pair of parallel side.

A system of equations is shown below: y = 8x − 2 y = 9x − 7 What is the solution to the system of equations? (1 point) (−5, 38) (−5, −38) (5, 38) (5, −38)

Answers

Answer:

(5,38)

Step-by-step explanation:

Use graphing calculator and the answer should be the point where the line crosses each other.

Answer:

5,38

Step-by-step explanation:

its correct!

How many solutions are there to this equation?
3(3x−1)=6x−3

A. no solutions B. one solution C. two solutions D. infinite solutions

Answers

Answer:

B. One solution

Step-by-step explanation:

The only solution is x = 0

Make a the subject of the formula.
please help asap!!!!!​

Answers

Answer:

Step-by-step explanation:

W=[tex]\sqrt{x-a/a}[/tex]

squaring both sides

W^2=([tex]\sqrt{x-a/a}[/tex] )^2

W^2=x-a/a

wa=x-a

a=x-a/w

[tex] \boxed{\boxed{\huge{ \mathrm{  \underline{ Answer} \:  \:  ✓ }}}}[/tex]

[tex]w = \sqrt \dfrac{{x - a} }{a} [/tex]

[tex]w {}^{2} = \dfrac{x - a}{a} [/tex]

[tex]w {}^{2} = \dfrac{x}{a} - \dfrac{a}{a} [/tex]

[tex]w {}^{2} = \dfrac{x}{a} - 1[/tex]

[tex] {w}^{2} + 1 = \dfrac{x}{a} [/tex]

[tex] \dfrac{1}{w {}^{2} + 1 } = \dfrac{a}{x} [/tex]

[tex]a = \dfrac{x}{ {w}^{2} + 1 } [/tex]

_____________________________

[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]

Solve for X. Round to the nearest tenth of a degree, if necessary.
7.9
4.1
R
S.

Answers

Answer:

30

Step-by-step explanation:

this is a right triangle which is 30 60 90 and the smaller angle is always 30

Answer: 59.7

Step-by-step explanation:

Question 6 of 10
Classify the following triangle. Check all that apply.
O A. Isosceles
B. Equilateral
O C. Obtuse
D D. Scalene
E. Right
OF Acute
SUB

Answers

Answer: a b f

Step-by-step explanation: I need brainliest for next rank I’d appreciate it

i believe it is A, B, and F good luck.

Any help at all would be appreciated!

Answers

Answer:

√24

Step-by-step explanation:

Answer:

[tex] \sqrt{24} [/tex]

as

[tex] \sqrt{25} = 5[/tex]

so

[tex] \sqrt{24} \: is \: nearly \: equal \: to \: 5[/tex]

also it is smaller than 5 and the number shown on the number line is left to 5 so it must be smaller than 5

What are the zeros of the function f(x) = x2 – 10x + 21?
help bro

Answers

Answer:

3, 7

Step-by-step explanation:

"Zeros" means solutions to the equation f(x) = 0.  In other words, what are the values of  x  that make the function's value equal to zero?

This one can be solved by factoring.

[tex]x^2-10x+21=0\\(x-7)(x-3)=0\\x-7=0 \text{ or } x-3=0\\x=7 \text{ or } x=3[/tex]

https://www.amphi.com/cms/lib/AZ01901095/Centricity/Domain/4604/6th%20ELA%20website%20040620.pdf
I HELP FOR THIS ANSWER THIS ANSWERS
THIS FOR GRADE PLEASE HELP

Answers

Answer:

I tried but it said 4 0 4 e r r o r i d k why

Step-by-step explanation:

if m<1=25 what is the measure of an angle that is complementary to <1

Answers

Answer:

65°

Step-by-step explanation:

The sum of the measures of complementary anfglwes is 90°.

Let a = the measure of the complement.

m<1 + a = 90

25 + a = 90

a = 65

somebody help me and show your work pls

Answers

Answer:

40x(14)

Step-by-step explanation:

5x(2)y(0)(2x(4)(3)

5x(2)x1) x8x(12)

5x(2)x8x(12)

40x(14)

Need this ASAP with the work

Answers

Answer:

Step-by-step explanation:

x/2-5=x/4 +2

x/2-x/4=2+5

x*4-x*2/8=7

4x-2x=8*7

2x=56

x=56/2

x=28

Answer:

J

Step-by-step explanation:

Automatically 1 and 8 are removed as answers since they are too small and go into the negatives, making the other side impossible to be equal. Then just substitute with -20 and 28 and to see which is correct.

Find the value of x. Please help!!!!

Answers

Answer:

Step-by-step explanation:

In a ∆, equal sides make equal angle to the third side. So the angle that's not mentioned is same '2'.

Sum of angles in a ∆ = 180°

80° + m/_2 + m/_2 = 180°

80° + (5x + 5) + (5x + 5) = 180°

10x + 90° = 180°

10x = 90°

x = 9°

Which statement is given in the diagram?

Answers

Answer:

D

Step-by-step explanation:

If you know how to solve this, Please answer it. Thank You

The first one to answer the question right, will get Brainlist!

I PROMISE!!!!!​

Answers

6.5 / 12 = x / 24

x = 6.5 × 24 / 12

x = 6.5 × 2

x = 13

Answer:

Step-by-step explanation:

x/y=x/y

6.5/12=x/24

do cross multiplication

12x=24*6.5

x=156/12

x=13

Plz help me well mark brainliest if correct

Answers

Answer:

I think it is b) 70

Step-by-step explanation:

Arrange the numbers in ascending order then find the middle number.

Answer:

70

Step-by-step explanation:

Write down all the data points: 20, 40, 50, 70, 80, 90, 110 and identify which is in the very middle.

The graph of f(x) - 3* -6 is shown below. g() is a transformation of f(x).
How would you write the equation for the function g(x)?
15
10
5+
g(x)
is 2015 16
f(x) = 13*-6 -10
5
10
15 20 25
5
15+
O
A. g(x) - 3* +2
B. g(x) =
Ο Ο
2--13*-6
c. g(x)=13* +3
D. g(x)= - 4*+3
o

Answers

Answer:

[tex]g(x) = \frac{1}{4}3^x +3[/tex]

Step-by-step explanation:

Given

[tex]f(x) =\frac{1}{4}3^x -6[/tex]

[tex]g(x) \to[/tex] translate f(x) 9 units up

Required

Find g(x)

The translation rule is:

[tex]g(x) \to f(x) + 9[/tex]

So, we have:

[tex]g(x) = f(x) + 10[/tex]

[tex]g(x) = \frac{1}{4}3^x - 6 + 9[/tex]

[tex]g(x) = \frac{1}{4}3^x +3[/tex]

a rectangle has a base of 10 and a height of 12 what is it area

Answers

Answer:

120

hope this helps

have a good day :)

Step-by-step explanation:

120 if not that 60

Step-by-step explanation:

hope this helped

How do you simplify √(29-12 √5)?

Answers

Answer:

2 sqaure root 5 -3

Step-by-step explanation:

See the Image below:)

(2[tex]\sqrt{5}[/tex] - 3)

What is simplification?

The process of replacing a mathematical expression with one that is equivalent, simpler, and typically shorter. Examples of simplification include simplifying algebraic expressions in computer algebra, simplifying Boolean expressions in logic optimization, and simplifying by conjunction elimination in logic inference to produce a formula that is simpler but typically non-equivalent.

Given equation  [tex]\sqrt{(29 - 12\sqrt{5}) }[/tex]

[tex]\sqrt{(29 - 12\sqrt{5}) }[/tex] = [tex]\sqrt{(9 + 20 - 2 x 3 x 2\sqrt{5}) }[/tex]

=  [tex]\sqrt{(3^{2} + (2\sqrt{5} )^{2} - 2 x 3 x 2\sqrt{5}) }[/tex]...…(1)

the equation is now in the form of (a - b)² =  a² + b² + 2ab

equation (1) can be written as where a =  2√5 and b = 3

[tex]\sqrt{(2\sqrt{5} - 3 )^{2} }[/tex] = 2√5 - 3

Hence the simplified equation is  2√5 - 3

Learn more about simplification;

https://brainly.com/question/23509407

#SPJ2

10.3.23
Question Help
o
In a recreation center with 1,500 members, 200 are high school students. Of the members, 300 regularly swim. The 45 students of the high school swim team are
all members and practice at the pool every week. What is the probability that a high school member selected at random is on the swim team?
The probability is
o
(Simplify your answer.)

Answers

Answer:

The probability that a high school member selected at random is on the swim team is [tex]\frac{9}{40} = 0.225[/tex]

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: High school student.

Event B: Is on the swin team.

Probability of selecting a high school student:

Of the 1500 students, 200 are on high school. So

[tex]P(A) = \frac{200}{1500}[/tex]

Probability of selecting a high school student who swims:

Of the 1500 students, 45 are high school students who swim. So

[tex]P(A \cap B) = \frac{45}{1500}[/tex]

What is the probability that a high school member selected at random is on the swim team?

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{\frac{45}{1500}}{\frac{200}{1500}} = \frac{45}{200} = \frac{9}{40} = 0.225[/tex]

The probability that a high school member selected at random is on the swim team is [tex]\frac{9}{40} = 0.225[/tex]

leo le debe 15.00 pesos. Si su madre le da 60.00 pesos de paga y se gasta 20.00 con sus amigos
¿cuanto dinero le queda?
¿tendrá pendiente alguna deuda?

Answers

Answer:

Le quedan 25 pesos

No tendrá pendiente ninguna deuda

Step-by-step explanation:

60-15-20=25

pls help it’s a multiple answer choice

Answers

Answer:

E and A

Step-by-step explanation:

In Happyville, the ideal family has four children, at least two of which are girls. If you randomly select a Happyville family that has four children, what is the probability that it is not ideal

Answers

Answer:

0.3125 = 31.25% probability that it is not ideal.

Step-by-step explanation:

For each children, there are only two possible outcomes. Either it is a girl, or they are not. The probability of a child being a girl is independent of any other child. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

0.5 probability of a children being a girl:

This means that [tex]p = 0.5[/tex]

If you randomly select a Happyville family that has four children, what is the probability that it is not ideal?

Not ideal is less than two girls, so this is P(X < 2).

Four children means that [tex]n = 4[/tex]. So

[tex]P(X < 2) = P(X = 0) + P(X = 1)[/tex]

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{4,0}.(0.5)^{0}.(0.5)^{4} = 0.0625[/tex]

[tex]P(X = 1) = C_{4,1}.(0.5)^{1}.(0.5)^{3} = 0.25[/tex]

[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.0625 + 0.25 = 0.3125[/tex]

0.3125 = 31.25% probability that it is not ideal.

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